Welcome to** national5maths.co.uk**

This website is primarily a free Maths resource for pupils, adult learners, parents and teachers.

Study at Advanced Higher Maths level will provide excellent preparation for your studies when at university. Some universities may require you to gain a pass at AH Maths to be accepted onto the course of your choice. The AH Maths course is fast paced so please do your very best to keep on top of your studies.

To access a wealth of additional N5 Maths **free resources by topic** please use the above Search Bar or click on any of the topic links at the bottom of the Home Page HERE.

We hope you find this website useful and wish you the very best with your studies in 2025.

Please find below:

2. AH Maths of Mechanics – Homework & Solutions

3. AH Maths of Mechanics Theory Guides/Support Notes

**1. AH Maths of Mechanics Past Papers**

Thanks to the SQA and Mr M Pitman for making available the excellent worked solutions below.

Year __________ | Exam Type _______________________________ | Exam Paper _____________ | Marking Scheme _____________________ | Worked Solutions - Courtesy M Pitman _________________________________ |

2023 | AH Maths of Mechanics | Exam Paper | Marking Scheme | Worked Solutions |

2022 | AH Maths of Mechanics | Exam Paper | Marking Scheme | Worked Solutions |

2019 | AH Maths of Mechanics | Exam Paper | Marking Scheme | Worked Solutions |

2018 | AH Maths of Mechanics | Exam Paper | Marking Scheme | Worked Solutions |

2017 | AH Maths of Mechanics | Exam Paper | Marking Scheme | Worked Solutions |

2016 | AH Maths of Mechanics | Exam Paper | Marking Scheme | Worked Solutions |

2015 | AH Maths of Mechanics - Specimen | Practice Paper | Marking Scheme on Paper | |

2015 | AH Maths of Mechanics - Exemplar | Practice Paper | Marking Scheme on Paper | |

2015 | AH Applied Mathematics (Mechanics) | 2015 AH Exam | Marking Scheme | Worked Solutions |

2014 | AH Applied Mathematics (Mechanics) | 2014 AH Exam | Marking Scheme | Worked Solutions |

2013 | AH Applied Mathematics (Mechanics) | 2013 AH Exam | Marking Scheme | Worked Solutions |

2012 | AH Applied Mathematics (Mechanics) | 2012 AH Exam | Marking Scheme | Worked Solutions |

2011 | AH Applied Mathematics (Mechanics) | 2011 AH Exam | Marking Scheme | Worked Solutions |

2010 | AH Applied Mathematics (Mechanics) | 2010 AH Exam | MarkingScheme | Worked Solutions |

2009 | AH Applied Mathematics (Mechanics) | 2009 AH Exam | Marking Scheme | Worked Solutions |

2008 | AH Applied Mathematics (Mechanics) | 2008 AH Exam | Marking Scheme | Worked Solutions |

2007 | AH Applied Mathematics (Mechanics) | 2007 AH Exam | Marking Scheme | Worked Solutions |

2006 | AH Applied Mathematics (Mechanics) | 2006 AH Exam | Marking Scheme | Worked Solutions |

2005 | AH Applied Mathematics (Mechanics) | 2005 AH Exam | Marking Scheme | Worked Solutions |

2004 | AH Applied Mathematics (Mechanics) | 2004 AH Exam | Marking Scheme | Worked Solutions |

2003 | AH Applied Mathematics (Mechanics) | 2003 AH Exam | Marking Scheme |

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**2. AH Maths of Mechanics – Homework & Solutions**

Thanks to the SQA and author (Madras College) for making available the excellent homework exercises below.

The exercises can also be used for revision.

Homework ______________ | Link ____________ | Solutions ___________ |

Homework 1 | Homework 1 | Solutions |

Homework 2 | Homework 2 | Solutions |

Homework 3 | Homework 3 | Solutions |

Homework 4 | Homework 4 | Solutions |

Homework 5 | Homework 5 | Solutions |

Homework 6 | Homework 6 | Solutions |

Homework 7 | Homework 7 | Solutions |

Homework 8 | Homework 8 | Solutions |

Homework 9 | Homework 9 | Solutions |

Homework 10 | Homework 10 | Solutions |

Homework 11 | Homework 11 | Solutions |

Homework 12 | Homework 12 | Solutions |

Homework 13 | Homework 13 | Solutions |

Homework 14 | Homework 14 | Solutions |

Homework 15 | Homework 15 | Solutions |

Homework 16 | Homework 16 | |

Homework 17 | Homework 17 | Solutions |

Homework 18 | Homework 18 | Solutions |

Homework 19 | Homework 19 | Solutions |

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**2. AH Maths of Mechanics Theory Guides/Support Notes**

Thanks to the SQA and M. Patel for making available the excellent support notes and Theory Guides below.

Details ____________________________________________________________________ | Link ______ |

Course Specification (April 2015, Version 2.0) | HERE |

Course and Unit Support Notes (May 2016, Version 2.2) | HERE |

Course Assessment Specification (April 2016, Version 2.4) | HERE |

Unit Specification, Force, Energy and Periodic Motion (April 2015, Version 2.0) | HERE |

Unit Specification, Linear and Parabolic Motion (April 2015, Version 2.0) | HERE |

Unit Specification, Mathematical Techniques for Mechanics (April 2015, Version 2.0) | HERE |

Question Paper Brief (March 2016, Version 1.1) | HERE |

Specimen Question Paper | HERE |

Exemplar Question Paper | HERE |

Theory Guide/Support Notes 1 | HERE |

Theory Guide/Support Notes 2 | HERE |

Theory Guide/Support Notes 3 | HERE |

001 - Rectilinear Motion (Displacement, Velocity and Acceleration) | HERE |

002 - Graphs and Equations of Motion | HERE |

003 - Vector Functions | HERE |

004 - Relative Motion | HERE |

005 - Closest Approach and Collision Problems | HERE |

006 - Projectile Motion | HERE |

007 - Newton's Laws, Free-Body Diagrams and Equilibrium | HERE |

008 - Friction | HERE |

009 - Circular Motion Theory | HERE |

010 - Centripetal Motion and Friction | HERE |

011 - Central Forces and Banked Circular Motion | HERE |

012 - The Conical Pendulum | HERE |

013 - Gravitation | HERE |

014 - Simple Harmonic Motion (SHM) | HERE |

015 - Hooke's Law | HERE |

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**4. List of Topics by Unit**

Applied Mathematics Advanced Higher – Mechanics: Unit 1

• Kinematics in a straight line

• Kinematics in three dimensions, including relative motion.

• Projectile motion

• Force and Newton’s laws of motion

Applied Mathematics Advanced Higher – Mechanics: Unit 2

• Circular motion

• Simple harmonic motion

• Momentum and impulse

• Work, energy and power

• Rectilinear motion using differential equations

Advanced Higher Mathematics for Applied Mathematics Unit 3

• Algebraic operations

• Matrix algebra

• Differentiation

• Integration

• Differential Equations

Covers the whole of the National 5 Maths course

Created by an experienced maths teacher

Resources used with students studying Maths in Scottish Secondary Schools